1. The problem statement, all variables and given/known data There are two log properties that I have to prove: 1) Explain why ln(b1/n)=(1/n)ln(b) for b>0, set b=an 2) Explain why ln(ar)=rln(a) for any r in Q and a>0, ie r is rational. 2. Relevant equations ln(an)=nln(a) 3. The attempt at a solution In a previous question I have already proved that ln(an)=nln(a), where n is a natural number. What I'm unsure about, is how is this any different? For 1), I'm not sure why you set b=an? Wouldn't you get ln((an)1/n) = ln(a)? I'm not sure how this helps me find the solution. Similarly for 2), I'm unsure how it is any different to proving that ln(an)=nln(a). Any help would be great!